Sums of squares of primes

[all at abouthugo.de]

David Wilson <davidwwilson at comcast.net> schrieb am 22.10.2003, 19:25:05:
> This thread got me thinking about expressing nonnegative integers as sums of distinct
> squared primes.
[...]
i found 2438 numbers which were not sums of distinct
> squared primes, the largest being 17163.  This agrees with A048261.
> 
> At Neil's request I will submit the list of 2438 numbers along with the accompanying
> sequence (complement of A048261).

It might be useful to include X-refs to the two related sequences that I
submitted this morning (and vice-versa)
%S A088908 5 13 16 21 24 29 34 40 45 48 53 58 72 74 96 112 117 120 125
130 144 146 
160 165 168 170 173 178 192 194 218 240 264 280 285 288 290 293 298 312 
314 336 338 352 357 360 365 370 386 408 410 432 458 480 482 
%N A088908 Numbers expressible as sum or difference of the squares of
two distinct primes. 
%e A088908 a(1)=3*3-2*2=5, a(2)=3*3+2*2=13, a(3)=5*5-3*3=16 
%Y A088908 Cf. A001481, A062316, A088909.

and

%S A088909 13 29 34 53 58 74 125 130 146 170 173 178 194 218 290 293 298
314 338 
365 370 386 410 458 482 530 533 538 554 578 650 698 818 845 850 866 890 
962 965 970 986 1010 1082 1130 1202 1250 1322 1370 1373 1378 1394 1418 
%N A088909 Numbers expressible as the sum of squares of two distinct
primes.
%e A088909 a(1)=3*3+2*2=13, a(2)=5*5+2*2=29. 
%Y A088909 Cf. A001481, A088908.

Hugo Pfoertner